Always take TLD.
Max R > E > Q > W.
Passive makes for really sufficient trading pre-level 4 with TLD.
She has a long AA range, so use that in lane to poke.
Use Q Defensively more so then offensively as it's your only real peel.
Don't max W Until you have maxed E and Q first, the scaling is garbage and so are the stats.
Use E to Zone as opposed to poke.
Q + R, and then Leaving E underneath the enemy can guarantee your ADC almost any kill without you stealing it.
Popping your E pre-maturely will normally result in you taking your ADC's kill, which you do not want to do.
Marksman is the highest scaling role in the game, as much help as you might be with 14 kills and 600AP, it's not going to change the fact Lux is garbage at taking towers, which in the end is what you need to do to win.
Consider building some AP if your midlaner is an AD champ like Zed or Talon.
Build Ardent Censer. Lux's W allows her to apply the Life Drain and AS buff to everyone on your team with one Basic ability, she's the only champion who can do this, take advantage of it.
Majority of the time you are better off building Support items then AP.
You will be low on gold as a support, there is no point in sinking 3800 Gold into a rabadons when you can buy 2 Support items for the same price.
Frost Queens, Ardent Censer + Runes and Masteries will give you sufficient AP.
And as ALWAYS Build Sight Stone, Redemption and Locket of the Iron Solari.
Both items are extremely broken right now.
Typical Build Consists of
and your own boots of choice out of
I'll normally run Magic Pen boots, but Mobi's if behind or Swifties if they have lots of slows.
Try not to mute your teammates unless necessary. They might have useful information. If they're salty you might have no choice.
Have fun.